タイトル：Constructions of ℓ-Adic t-Deletion-Correcting Quantum Codes
著者名：Ryutaroh MATSUMOTO; Manabu HAGIWARA
雑誌名：IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
号数：Volume E105.A, Issue 3
DOI：https://doi.org/10.1587/transfun.2021EAP1034
Abstract：We propose two systematic constructions of deletion-
correcting codes for protecting quantum inforomation. The first one
works with qudits of any dimension ℓ, which is referred to as ℓ-adic,
but only one deletion is corrected and the constructed codes are
asymptotically bad. The second one corrects multiple deletions and can
construct asymptotically good codes. The second one also allows
conversion of stabilizer-based quantum codes to deletion-correcting
codes, and entanglement assistance.
